ON THE GENERALIZED PLK METHOD AND ITS APPLICATIONS

摘要

In this paper,we propose a generalized form of the PLK method.To solve weakly nonlinear prob-lems,in straining the related coordinates ,we choose a kind of transformations including nonlinear functionals of de-pendent variables to linearize asymptotically the original problems,and give more perfect asymptotic solutions withthe first-term approximation and the derived transformations.The analysis for some practical examples shows that thegeneralized method is straightforward and effective and might be applied to more complicated nonlinear problems.